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How Many Real Attractive Fixed Points Can A Polynomial Have?

Numerical Analysis 2016-06-09 v1 Dynamical Systems

Abstract

We prove a complex polynomial of degree nn has at most n/2\lceil n/2 \rceil attractive fixed points lying on a line. We also consider the general case.

Cite

@article{arxiv.1605.07859,
  title  = {How Many Real Attractive Fixed Points Can A Polynomial Have?},
  author = {Terence Coelho and Bahman Kalantari},
  journal= {arXiv preprint arXiv:1605.07859},
  year   = {2016}
}

Comments

4 pages

R2 v1 2026-06-22T14:09:13.606Z